
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
January 29th, 2013, 05:09 AM  #1 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  prove inequality satisfying :a+b+c=0 and , abc=8 prove : 
January 29th, 2013, 05:13 AM  #2 
Math Team Joined: Apr 2010 Posts: 2,778 Thanks: 361  Re: prove inequality
Without loss of generality, let a <= b <= c. We must have a < b < 0 and so a < c and so 1/a + 1/c < 0 and hence 1/a + 1/b + 1/c < 0. 
January 29th, 2013, 05:19 AM  #3 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond  Re: prove inequality 
January 29th, 2013, 06:48 AM  #4 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  Re: prove inequality
greg1313: very good solution 

Tags 
inequality, prove 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Prove inequality  walter r  Real Analysis  2  January 15th, 2014 02:24 AM 
Inequality to prove  isymbol  Algebra  1  October 18th, 2013 06:41 PM 
prove an inequality  Albert.Teng  Algebra  3  April 5th, 2013 03:14 AM 
Can you prove this inequality?  NYjer  Number Theory  4  December 25th, 2012 11:01 PM 
Please prove the following inequality.  Albert.Teng  Algebra  7  April 17th, 2012 04:53 AM 